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Finding the Fourth Proportional to 818.70, 1,128.96 and 800.82

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Solution

The fourth proportional to 818.70, 1,128.96 and 800.82 is: 1,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.70 : 1,128.96 = 800.82 : x
  2. Step 2: Convert to fraction form
    818.70/1,128.96 = 800.82/x
  3. Step 3: Cross multiply
    818.70x = 1,128.96 × 800.82
  4. Step 4: Simplify right side
    818.70x = 904,093.75
  5. Step 5: Solve for x
    x = 904,093.75/818.70
  6. Step 6: Final answer
    x = 1,104.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.